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abruzzese [7]
2 years ago
8

A pattern is made from four congruent squares. The sides of the squares are parallel to the axes. Point A has coordinates (3,2)

Point b has the coordinates (27,30) Point C is marked on the diagram. Work out the coordinates of C
Mathematics
1 answer:
OLga [1]2 years ago
6 0

Answer:

(13, 16)

Step-by-step explanation:

Point A has coordinates (3,2) Point b has the coordinates (27,30)

Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit

The length of the square = 28 unit / 4 square = 7 unit

Also, half of the height of the diagram = 28/2 = 14 unit

Therefore the x coordinate is given by:

27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13

Also, the y coordinate is given by:

30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16

Therefore the coordinate for point C is given by (13, 16)

 

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